Answer
$x=0$
$x=2$
Work Step by Step
$-x^2e^{-x}+2xe^{-x}=0$
$-xe^{-x}(x-2)=0$
Since $e^{-x}\gt0$ for any $x$ in the domain of $e^{-x}$
$-xe^{-x}=0$
$x=0$
$x-2=0$
$x=2$
Algebra and Trigonometry 10th Edition
by Larson, Ron
Published by
Cengage Learning
ISBN 10:
9781337271172
ISBN 13:
978-1-33727-117-2
Chapter 5 - 5.4 - Exponential and Logarithmic Equations - 5.4 Exercises - Page 396: 74
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
